Question

4. Family Closeness. A student conducted among college students evaluated the connection between drug use and family closeness (the higher the score, the greater the family closeness). The sample mean on the family closeness scale was 2.0 (sample standard deviation=2.1) for 13 students who used drugs and 4.8 for 17 students who did not use drugs (sample standard deviation=3.2) a) Find the standard error for comparing the means (2 points) b) Construct a 95% confidence interval for the difference in family closeness for students who used drugs and students who did not use drugs (2 points). Interpret your confidence interval (2 points).

Answer 1

who wed drugs who did not use drugs a = 468 = 32 -S4 = 2.1 m =13 + 23 Standard error of Sample means (se 0.9704] (6 for differa 95% - point confidence estimate - interval = 5,4 22-448 Mi-M = dkshophead 5 t) I ta SE - 13417-2 =128) 2005 critical Value - 2048 M, M₂ = -2.8 I 2.048 (0.9704) 2-2.8 + 1.988 -4.788 -0.8121 confident that time popetatim lies between these li - 95% difference in mean Popotatim of that fue limits I these